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14178982719001 = 47211327092
BaseRepresentation
bin1100111001010100110100…
…1110100110111000011001
31212012111102200111010211011
43032111031032212320121
53324302024034002001
650053422411533521
72662253260353622
oct316251516467031
955174380433734
1014178982719001
114577300110571
12170bb9475a2a1
137bb0c2bba679
143703a30dca49
15198c6415ed51
hexce54d3a6e19

14178982719001 has 27 divisors (see below), whose sum is σ = 14637065373021. Its totient is φ = 13735094400384.

The previous prime is 14178982718993. The next prime is 14178982719007. The reversal of 14178982719001 is 10091728987141.

The square root of 14178982719001 is 3765499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10834926806025 + 3344055912976 = 3291645^2 + 1828676^2 .

It is not a de Polignac number, because 14178982719001 - 23 = 14178982718993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14178982719007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19998564835 + ... + 19998565543.

Almost surely, 214178982719001 is an apocalyptic number.

14178982719001 is the 3765499-th square number.

14178982719001 is the 1882750-th centered octagonal number.

It is an amenable number.

14178982719001 is a deficient number, since it is larger than the sum of its proper divisors (458082654020).

14178982719001 is an frugal number, since it uses more digits than its factorization.

14178982719001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 58.

The spelling of 14178982719001 in words is "fourteen trillion, one hundred seventy-eight billion, nine hundred eighty-two million, seven hundred nineteen thousand, one".

Divisors: 1 47 113 709 2209 5311 12769 33323 80117 249617 502681 600143 1566181 3765499 9053221 23626007 28206721 56802953 176978453 425501387 1110422329 2669738791 6418733689 19998565189 125477723177 301680483383 14178982719001